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Lesson 1-4Adding Integers
A. AB. BC. CD. D
A. 20
B. 25
C. 30
D. 35
A basketball player scored 27 points in the first game, 19 points in the second game, and 32 points in the third game. About how many more points did he score in the last two games than in the first game?
(over Lesson 1-1)
A. AB. BC. CD. D
A. 20
B. 47
C. 57
D. 72
(over Lesson 1-2)
Evaluate z2 + 4y – 10 if y = 8 and z = 5.
A. AB. BC. CD. D
A. –5
B. –0.5
C. 0.5
D. 5
Write an integer for a gain of 5 pounds.
(over Lesson 1-3)
1. A2. B3. C4. D
A. –5
B. –0.5
C. 0.5
D. 5
Write an integer for 5 degrees below zero.
(over Lesson 1-3)
• opposites
• additive inverse
• Add integers.
Standard 7NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.
Standard 7AF1.3 Simplify numerical expressions by applying properties of rational numbers (e.g. identity, inverse, distributive, associative, commutative) and justify the process used.
Add Integers with the Same Sign
Find –8 + (–4).
From there, move 4 units left.
Answer: So, –8 + (–4) = –12.
Move 8 units to the left.
Start at zero.
New School Thinking
If two integers have the same sign,
simply add them together.
Add Integers with Different Signs
Find 4 + (–6).
Answer: So, 4 + (–6) = –2.
From there, move 6 units left.
Move 4 units tothe right.
Start at zero.
Add Integers with Different Signs
Find 4 + (–6).
Answer: So, 4 + (–6) = –2.
Determine which integer has the highest absolute value
Find the difference between 4 & 6
Use the sign of the integer with the highest value in the final answer
(2)
|-6|
(-)
Add Integers with Different Signs
Find –5 + 9.
Answer: So, –5 + 9 = 4.
From there, move 9 units right.
Move 5 units to left.
Start at zero.
Add Integers with Different Signs
Find –5 + 9.
Answer: So, –5 + 9 = 4.
Determine which integer has the highest absolute value
Find the difference between 5 & 9
Use the sign of the integer with the highest value in the final answer
(4)
|9|
(+)
Add Integers with Different Signs
Find –33 + 16.
Answer: So, –33 + 16 = –17.
From there, move 16 units right.
Move 33 units to left.
Start at zero.
Add Integers with Different Signs
Find –33 + 16.
Answer: So, –33 + 16 = –17.
Determine which integer has the highest absolute value
Find the difference between 33 & 16
Use the sign of the integer with the highest value in the final answer
(17)
|-33|
(-)
Add Three or More Integers
Find 2 + (–5) + (–3).
= 2 + [ (–5) + (–3)]
Answer: –6
= 2 + (–8)
= 2 + (–8)
Group using the Associative Property. -5 & -3 are both negative integers so group them together.
-5 & -3 combined give you -8.
The difference between 2 & 8 is 6. The|-8| is higher than the |2| therefore you will use the (-) sign in your final answer.
A. AB. BC. CD. D
A. –9
B. –3
C. 3
D. 9
Find –3 + (–6).
1. A2. B3. C4. D
A. –2
B. 2
C. 7
D. 8
Find 3 + (–5).
1. A2. B3. C4. D
A. –2
B. 0
C. 2
D. 4
Find –6 + 8.
1. A2. B3. C4. D
A. –31
B. –15
C. 15
D. 31
Find –23 + 8.
1. A2. B3. C4. D
A. –9
B. –5
C. –1
D. 4
Find 3 + (–6) + (–2).
A. AB. BC. CD. D
A. $1
B. $2
C. $3
D. $4
MONEY Jaime gets an allowance of $5. She spends $2 on video games and $1 on lunch. Her best friend repays a $2 loan and she buys a $3 pair of socks. How much money does Jaime have left?